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Finding the Fourth Proportional to 4,671.59, 6,446.81 and 2,575.71

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Solution

The fourth proportional to 4,671.59, 6,446.81 and 2,575.71 is: 3,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.59 : 6,446.81 = 2,575.71 : x
  2. Step 2: Convert to fraction form
    4,671.59/6,446.81 = 2,575.71/x
  3. Step 3: Cross multiply
    4,671.59x = 6,446.81 × 2,575.71
  4. Step 4: Simplify right side
    4,671.59x = 16,605,100.11
  5. Step 5: Solve for x
    x = 16,605,100.11/4,671.59
  6. Step 6: Final answer
    x = 3,554.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.